College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.4 - Page 61: 60


$2x^2y+8xy$ has a degree of 3

Work Step by Step

$$(-2x^2y+xy)+(4x^2y+7xy)$$ $$=-2x^2y+xy+4x^2y+7xy$$ $$=-2x^2y+4x^2y+xy+7xy$$ $$=(-2+4)x^2y + (1+7)xy$$ $$=2x^2y+8xy$$ This expression has a degree of 3. To find the degree of the express, use the degree of the term with the largest degree. There are two terms: 2x^2y and 8xy. The term 2x^2y has a degree of 3 because you add together the degrees of each of the variables: x has a degree of 2, y has a degree of 1. The term 8xy has a degree of 2 as both the x and y each have a degree of 1.
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